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330323200023001 = 10121637178911057
BaseRepresentation
bin100101100011011010101110…
…0111111111001100111011001
31121022120120220202111122122111
41023012311130333321213121
5321244003403201214001
63130312214433352321
7126402030555062653
oct11306653477714731
91538516822448574
10330323200023001
11962843119a54a9
123106aa234086a1
1311241461cc6713
145b7da2a1dd6d3
15282c6e7967851
hex12c6d5cff99d9

330323200023001 has 24 divisors (see below), whose sum is σ = 334046721579480. Its totient is φ = 326640639820800.

The previous prime is 330323200022969. The next prime is 330323200023139. The reversal of 330323200023001 is 100320002323033.

It can be written as a sum of positive squares in 12 ways, for example, as 14202918976 + 330308997104025 = 119176^2 + 18174405^2 .

It is not a de Polignac number, because 330323200023001 - 25 = 330323200022969 is a prime.

It is a super-2 number, since 2×3303232000230012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330323200023301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29874571665 + ... + 29874582721.

It is an arithmetic number, because the mean of its divisors is an integer number (13918613399145).

Almost surely, 2330323200023001 is an apocalyptic number.

It is an amenable number.

330323200023001 is a deficient number, since it is larger than the sum of its proper divisors (3723521556479).

330323200023001 is a wasteful number, since it uses less digits than its factorization.

330323200023001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14685 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 330323200023001 its reverse (100320002323033), we get a palindrome (430643202346034).

The spelling of 330323200023001 in words is "three hundred thirty trillion, three hundred twenty-three billion, two hundred million, twenty-three thousand, one".

Divisors: 1 101 1637 1789 10201 11057 165337 180689 1116757 2928593 16699037 18100309 18249589 19780973 112792457 295787893 1828131209 1997878273 29874577193 32381452801 184641252109 201785705573 3270526732901 330323200023001